Question

At t = 532.0s after midnight, a spacecraft of mass 1400 kg is located at position (3x105, 7x105,-4x105 ) m, and at that time an asteroid whose mass is 7 x 10 15 kg is located at position (9 x 10 ^ 5, - 3 x 10 ^ 5, - 12 x 10 ^ 5) m. There are no other objects nearby. (a) Calculate the (vector) force acting on the spacecraft. (b) At t=532.0: the spacecraft's momentum wasand at the later time t = 538.0s its momentum was.Calculate the (vector) change of momentum

Short answer

1. The value of vector force

2. Change in vector momentum

Step-by-step solution

Identification of given data

• 

• Mass of spacecraft

• Positions of spacecraft

• Mass of asteroid

Calculation of the vector force

(a) According to the Newton’s low of gravitation

Where

G – Gravitational constant

Mass of 1 object

Mass of 2 objects

Distance between two object

Calculation of change in vector momentum

(b) The spacecraft momentum

When t=532 s

When t=538 s

Then the value of